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# Orthorhombic

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### Orthorhombic

In crystallography, the orthorhombic crystal system is one of the seven lattice point groups. Orthorhombic lattices result from stretching a cubic lattice along two of its orthogonal pairs by two different factors, resulting in a rectangular prism with a rectangular base (a by b) and height (c), such that a, b, and c are distinct. All three bases intersect at 90° angles. The three lattice vectors remain mutually orthogonal.

## Bravais lattices

There are four orthorhombic Bravais lattices: simple orthorhombic, body-centered orthorhombic, base-centered orthorhombic, and face-centered orthorhombic.

Orthorhombic Bravais lattices
Primitive Body-centered Base-centered Face-centered

## Crystal classes

The orthorhombic crystal system class names, examples, Schönflies notation, Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number,[1] orbifold notation, type, and space groups are listed in the table below.

# Point group Example Type Space groups
Name Schönflies Intl Orbifold Coxeter
16-24 sphenoidal [2] D2 222 222 [2,2]+ epsomite enantiomorphic P222, P2221, P21212, P212121, C2221, C222, F222, I222, I212121
25-46 pyramidal [2] C2v mm2 *22 [2] hemimorphite, bertrandite polar Pmm2, Pmc21, Pcc2, Pma2, Pca21, Pnc2, Pmn21, Pba2, Pna21, Pnn2, Cmm2, Cmc21, Ccc2, Amm2, Aem2, Ama2,Aea2, Fmm2, Fdd2, Imm2, Iba2, Ima2
47-74 bipyramidal [2] D2h mmm *222 [2,2] olivine, aragonite, marcasite centrosymmetric Pmmm, Pnnn, Pccm, Pban, Pmma, Pnna, Pmna, Pcca, Pbam, Pccn, Pbcm, Pnnm, Pmmn, Pbcn, Pbca, Pnma, Cmcm, Cmca, Cmmm, Cccm, Cmme, Ccce, Fmmm, Fddd, Immm, Ibam, Ibca, Imma

## References

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